=ADD=
=reftype=
14
=number=
99-12
=url=
ftp://ftp.risc.uni-linz.ac.at/pub/techreports/1999/99-12.ps.gz
=year=
1999
=month=
05
=author=
Chyzak; Frederic
=title=
Holonomic Functions in Computer Algebra --- Slides of a Series of Talks
=abstract=
The present document collects the slides from a series of talks given
by the author in Winter 1999 at the {\em Combinatorics Seminar\/} held
by Peter Paule in RISC-Linz (Austria).  Its main goal is to present
algorithms for symbolic summation and integration, and also for other
algorithmic manipulations of special functions and combinatorial
sequences.  But it also provides the detailed background on holonomy
required in algorithmic applications.
=note=
slides of a series of talks
=sponsor=
SFB grant F1305 of the Austrian Science Foundation (FWF)
=keywords=
computer algebra, holonomic functions, symbolic integration, symbolic summation, polynomial elimination, Groebner bases, D-modules, Zeilberger's algorithm, Ore operators